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125340012 = 22327432269
BaseRepresentation
bin1110111100010…
…00100101101100
322201211221011200
413132020211230
5224041340022
620234245500
73051241530
oct736104554
9281757150
10125340012
1164829896
1235b86890
131cc766b5
1412909bc0
15b00cbac
hex778896c

125340012 has 108 divisors (see below), whose sum is σ = 372088080. Its totient is φ = 34848576.

The previous prime is 125340011. The next prime is 125340029. The reversal of 125340012 is 210043521.

125340012 is a `hidden beast` number, since 1 + 253 + 400 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (125340011) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 465814 + ... + 466082.

It is an arithmetic number, because the mean of its divisors is an integer number (3445260).

Almost surely, 2125340012 is an apocalyptic number.

125340012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125340012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186044040).

125340012 is an abundant number, since it is smaller than the sum of its proper divisors (246748068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125340012 is a wasteful number, since it uses less digits than its factorization.

125340012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 125340012 is about 11195.5353601335. The cubic root of 125340012 is about 500.4529389021.

Adding to 125340012 its reverse (210043521), we get a palindrome (335383533).

The spelling of 125340012 in words is "one hundred twenty-five million, three hundred forty thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 269 301 387 516 538 602 774 807 903 1076 1204 1548 1614 1806 1849 1883 2421 2709 3228 3612 3698 3766 4842 5418 5547 5649 7396 7532 9684 10836 11094 11298 11567 12943 16641 16947 22188 22596 23134 25886 33282 33894 34701 38829 46268 51772 66564 67788 69402 77658 80969 104103 116487 138804 155316 161938 208206 232974 242907 323876 416412 465948 485814 497381 728721 971628 994762 1457442 1492143 1989524 2914884 2984286 3481667 4476429 5968572 6963334 8952858 10445001 13926668 17905716 20890002 31335003 41780004 62670006 125340012